A Novel Numerical Approach to Fluid-structure Interaction Problem

Download or read book A Novel Numerical Approach to Fluid-structure Interaction Problem written by Rahim Usubov and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work develops numerical methods (finite difference methods) for equations of fluid dynamics and equations of elasticity reformulated in the stress variables (as opposed to natural variables) and applies them to the Fluid-Structure Interaction (FSI) problem using a new model based on the level set method. Equations reformulated in stress variables are the stress formulation. Previously some work has been done on numerical methods for stress formulation for the Navier-Stokes equation. This work extends this research to the equations of elasticity. Additionally the current research develops a new model for FSI problems are based on this stress formulation and the level set method. Using this model and new numerical method for FSI problems is developed with some constraints. Some benchmark results are presented.